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Paper Citation Record · LEDGER

Functional dependence and synchronous coupling in ergodic autoregressions

As of 23 August 2026, this Paper Citation Record lists 21 of 21 outbound references and 0 inbound Pith citation observations for arXiv:2607.08567.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2607.08567 v1

Coverage vector

measured 21 of 21 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-07-10T05:14:58.981450Z

measured 21 of 21 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-23T06:30:58.430688+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: cited_works

Reference resolution

21 of 21 outbound references displayed

  • verified exact1
  • verified fuzzy15
  • unresolved5
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 29828e1b-322b-4c47-9ec3-265c922fe0f5 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 1

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:16:48.257824Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 8f7df3d8-27d5-4c12-8876-bec395cda31e · outbound

This paper cites Springer Monographs in Mathematics.

Functional dependence and synchronous coupling in ergodic autoregressions Springer Monographs in Mathematics

Reference 2

Resolution
verified exact
doi, observed 2026-07-10T05:16:47.494612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation bf227109-5d9f-460d-b6a9-a84b283353f6 · outbound

This paper cites Dedecker, P.

Functional dependence and synchronous coupling in ergodic autoregressions Dedecker, P

Reference 3

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 3bc9dbe4-80b6-4a0c-9110-a91440ad85d4 · outbound

This paper cites Diaconis and D.

Functional dependence and synchronous coupling in ergodic autoregressions Diaconis and D

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.263627Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:d3040eb24f45183e1b8c7e3989c210e700a838648a34b515e200267298f10e09

Observation 01d49673-7733-4924-95ac-4245380cd03b · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 5

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:16:48.290718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:5b70cf711e7628e1a7398aeeea726914e51827cd8c8b52cd1aa9c5b26f4e372e

Observation 1c6e6d6a-d93b-4692-8f91-de9983655a79 · outbound

This paper cites Doukhan.Mixing, properties and models, volume 85 ofLecture Notes in Statistics.

Functional dependence and synchronous coupling in ergodic autoregressions Doukhan.Mixing, properties and models, volume 85 ofLecture Notes in Statistics

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.292816Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:29b9fb8b835ab3474440791d338c5784cd518647fc1327ddafab392bbc81bc38

Observation f2d58331-b5fe-4fdf-bdd3-83c862e43bc4 · outbound

This paper cites Doukhan and M.

Functional dependence and synchronous coupling in ergodic autoregressions Doukhan and M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.259764Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:4b2713803024f4e58423b2717cb0062274f0a4c2fdaf47a303cf979a2a47ae63

Observation 3415dd3b-afef-4e90-a68e-550fa345a833 · outbound

This paper cites Doukhan, N.

Functional dependence and synchronous coupling in ergodic autoregressions Doukhan, N

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.261666Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:0d8315cde3f39daa6231870a7de6113a540310804413a4e2fd60f896e40cf58f

Observation 11b330a3-b014-40a4-ab14-61826076e4fb · outbound

This paper cites Flandoli, B.

Functional dependence and synchronous coupling in ergodic autoregressions Flandoli, B

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.296539Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:db2cfafb5248746b6ae45fd564db7039573cfcc98aeaaefc30c17bf23bf0be3f

Observation 18640d2b-fa21-42f2-be15-7b921928b87b · outbound

This paper cites Synchronization by noise.Proba- bility Theory and Related Fields, 168(3):511–556, 2017.

Functional dependence and synchronous coupling in ergodic autoregressions Synchronization by noise.Proba- bility Theory and Related Fields, 168(3):511–556, 2017

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.267252Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation 4332578b-621e-4839-8ca9-3bba762afc78 · outbound

This paper cites Lyapunov exponents and synchronisation by noise for systems of spdes.The Annals of Probability, 52(5):1903–1953, 2024.

Functional dependence and synchronous coupling in ergodic autoregressions Lyapunov exponents and synchronisation by noise for systems of spdes.The Annals of Probability, 52(5):1903–1953, 2024

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.283084Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

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Observation b67c469f-caed-4086-9496-68fd92e60a62 · outbound

This paper cites De Gruyter Studies in Mathematics, 2018.

Functional dependence and synchronous coupling in ergodic autoregressions De Gruyter Studies in Mathematics, 2018

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.284870Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:984aaf8f2c5f65a35fdac1291dd68d5c2eab52aed758e78f1dc4e4df3e4ec4d7

Observation 988c6025-d900-499c-b28f-afcd385d4440 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:16:48.286937Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:3db744345312a6a7844da5cee48fe4254ead8dcd96c4dae6f3a1cb2bc97d9636

Observation f2289275-e741-4c89-8eea-cea27c2dcca7 · outbound

This paper cites Meyn and Richard L.

Functional dependence and synchronous coupling in ergodic autoregressions Meyn and Richard L

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.294564Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:df83a90d1b1011df6289d33667d4dd341e9162bbf6a19880e1acf10440135e3c

Observation ec041bde-e69b-472b-8b4b-3ed61da53c61 · outbound

This paper cites Mokkadem.

Functional dependence and synchronous coupling in ergodic autoregressions Mokkadem

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.274281Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:82f955c003e20aaa8be658b8922c2aadf901be300241551d097909fce23ae855

Observation ac681172-1cd7-4414-9317-a48c75c3b1c1 · outbound

This paper cites Necessary and sufficient conditions for stable synchronization in random dynamical systems.Ergodic Theory and Dynamical Systems, 38(5):1857–1875, 2018.

Functional dependence and synchronous coupling in ergodic autoregressions Necessary and sufficient conditions for stable synchronization in random dynamical systems.Ergodic Theory and Dynamical Systems, 38(5):1857–1875, 2018

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.279143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:fa3aaec6d5c076124726fd569f3adf95deb45e11f0dd1580d830339514c73b8f

Observation e79683c8-9e42-4375-9d41-a531a80a0a38 · outbound

This paper cites Nummelin and R.

Functional dependence and synchronous coupling in ergodic autoregressions Nummelin and R

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.270637Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:3036b36c909ad0fcfc447a7b283124da253741c9bb3c6dac6c92db8f4b8346c6

Observation 056b52fe-c9ec-4844-bf77-35e542e87c31 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 18

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:16:48.269065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:231c71475856914267e64f842f8d6f27f6a6387ce082bfa468e556f45e6caf1c

Observation 894ce42f-5a54-4f0e-bbcf-1bb96e4d6bf7 · outbound

This paper cites Synchronization, lyapunov exponents and stable manifolds for random dynamical systems.

Functional dependence and synchronous coupling in ergodic autoregressions Synchronization, lyapunov exponents and stable manifolds for random dynamical systems

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.272515Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:dda8a6a95492fc789edf1e0b5110a24054dc40f77f41821e35b20986196ede7f

Observation ea49b281-9c76-472a-9c0c-41d7453c6588 · outbound

This paper cites an unresolved cited work.

Functional dependence and synchronous coupling in ergodic autoregressions Unresolved cited work

Reference 20

Resolution
unresolved
raw_fallback, observed 2026-07-10T05:16:48.281143Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:2c4a6ac2e0119c12455aea0cd1f0442344c1140aef11558c2063e49f749cb3f4

Observation 63a9f07e-1b4b-4f69-9f57-eb931bd72561 · outbound

This paper cites Limit theorems for iterated random functions.Journal of Applied Probability, 41(2):425–436, 2004.

Functional dependence and synchronous coupling in ergodic autoregressions Limit theorems for iterated random functions.Journal of Applied Probability, 41(2):425–436, 2004

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-07-10T05:16:48.265431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-23T06:30:58.430688+00:00.

source=pdf_text observed=2026-07-10T05:14:58.981450Z digest=sha256:0896d3afb1ec06356c502b6e759901c74eb511a7f859aad8cdc2d5771d3976cb

Pith citing papers

No inbound Pith citation observations are available.